nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
4,
88,
63,
18
] | 82 | [
"88-63=25",
"4*25=100",
"100-18=82"
] | Current State: 82:[4, 88, 63, 18], Operations: []
Exploring Operation: 88-63=25, Resulting Numbers: [4, 18, 25]
Generated Node #2: [4, 18, 25] from Operation: 88-63=25
Current State: 82:[4, 18, 25], Operations: ['88-63=25']
Exploring Operation: 4*25=100, Resulting Numbers: [18, 100]
Generated Node #3: [18, 100] from Operation: 4*25=100
Current State: 82:[18, 100], Operations: ['88-63=25', '4*25=100']
Exploring Operation: 100-18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
72,
45,
21,
75
] | 63 | [
"72+45=117",
"75-21=54",
"117-54=63"
] | Current State: 63:[72, 45, 21, 75], Operations: []
Exploring Operation: 72+45=117, Resulting Numbers: [21, 75, 117]
Generated Node #2: [21, 75, 117] from Operation: 72+45=117
Current State: 63:[21, 75, 117], Operations: ['72+45=117']
Exploring Operation: 75-21=54, Resulting Numbers: [117, 54]
Generated Node #3: [117, 54] from Operation: 75-21=54
Current State: 63:[117, 54], Operations: ['72+45=117', '75-21=54']
Exploring Operation: 117-54=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
45,
33,
15,
79
] | 82 | [
"45-33=12",
"15+79=94",
"94-12=82"
] | Current State: 82:[45, 33, 15, 79], Operations: []
Exploring Operation: 45-33=12, Resulting Numbers: [15, 79, 12]
Generated Node #2: [15, 79, 12] from Operation: 45-33=12
Current State: 82:[15, 79, 12], Operations: ['45-33=12']
Exploring Operation: 15+79=94, Resulting Numbers: [12, 94]
Generated Node #3: [12, 94] from Operation: 15+79=94
Current State: 82:[12, 94], Operations: ['45-33=12', '15+79=94']
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
50,
59,
15,
20
] | 65 | [
"15*20=300",
"300/50=6",
"59+6=65"
] | Current State: 65:[50, 59, 15, 20], Operations: []
Exploring Operation: 15*20=300, Resulting Numbers: [50, 59, 300]
Generated Node #2: [50, 59, 300] from Operation: 15*20=300
Current State: 65:[50, 59, 300], Operations: ['15*20=300']
Exploring Operation: 300/50=6, Resulting Numbers: [59, 6]
Generated Node #3: [59, 6] from Operation: 300/50=6
Current State: 65:[59, 6], Operations: ['15*20=300', '300/50=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
3,
2,
72,
75
] | 33 | [
"3*72=216",
"216/2=108",
"108-75=33"
] | Current State: 33:[3, 2, 72, 75], Operations: []
Exploring Operation: 3*72=216, Resulting Numbers: [2, 75, 216]
Generated Node #2: [2, 75, 216] from Operation: 3*72=216
Current State: 33:[2, 75, 216], Operations: ['3*72=216']
Exploring Operation: 216/2=108, Resulting Numbers: [75, 108]
Generated Node #3: [75, 108] from Operation: 216/2=108
Current State: 33:[75, 108], Operations: ['3*72=216', '216/2=108']
Exploring Operation: 108-75=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
72,
19,
25,
8
] | 58 | [
"72+19=91",
"25+8=33",
"91-33=58"
] | Current State: 58:[72, 19, 25, 8], Operations: []
Exploring Operation: 72+19=91, Resulting Numbers: [25, 8, 91]
Generated Node #2: [25, 8, 91] from Operation: 72+19=91
Current State: 58:[25, 8, 91], Operations: ['72+19=91']
Exploring Operation: 25+8=33, Resulting Numbers: [91, 33]
Generated Node #3: [91, 33] from Operation: 25+8=33
Current State: 58:[91, 33], Operations: ['72+19=91', '25+8=33']
Exploring Operation: 91-33=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
28,
9,
73,
18
] | 23 | [
"73-28=45",
"45/9=5",
"18+5=23"
] | Current State: 23:[28, 9, 73, 18], Operations: []
Exploring Operation: 73-28=45, Resulting Numbers: [9, 18, 45]
Generated Node #2: [9, 18, 45] from Operation: 73-28=45
Current State: 23:[9, 18, 45], Operations: ['73-28=45']
Exploring Operation: 45/9=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 45/9=5
Current State: 23:[18, 5], Operations: ['73-28=45', '45/9=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
72,
65,
49,
46
] | 42 | [
"72+65=137",
"49+46=95",
"137-95=42"
] | Current State: 42:[72, 65, 49, 46], Operations: []
Exploring Operation: 72+65=137, Resulting Numbers: [49, 46, 137]
Generated Node #2: [49, 46, 137] from Operation: 72+65=137
Current State: 42:[49, 46, 137], Operations: ['72+65=137']
Exploring Operation: 49+46=95, Resulting Numbers: [137, 95]
Generated Node #3: [137, 95] from Operation: 49+46=95
Current State: 42:[137, 95], Operations: ['72+65=137', '49+46=95']
Exploring Operation: 137-95=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
95,
98,
68,
6
] | 64 | [
"95-68=27",
"6*27=162",
"162-98=64"
] | Current State: 64:[95, 98, 68, 6], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [98, 6, 27]
Generated Node #2: [98, 6, 27] from Operation: 95-68=27
Current State: 64:[98, 6, 27], Operations: ['95-68=27']
Exploring Operation: 6*27=162, Resulting Numbers: [98, 162]
Generated Node #3: [98, 162] from Operation: 6*27=162
Current State: 64:[98, 162], Operations: ['95-68=27', '6*27=162']
Exploring Operation: 162-98=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
49,
21,
17,
94
] | 49 | [
"49-21=28",
"94-17=77",
"77-28=49"
] | Current State: 49:[49, 21, 17, 94], Operations: []
Exploring Operation: 49-21=28, Resulting Numbers: [17, 94, 28]
Generated Node #2: [17, 94, 28] from Operation: 49-21=28
Current State: 49:[17, 94, 28], Operations: ['49-21=28']
Exploring Operation: 94-17=77, Resulting Numbers: [28, 77]
Generated Node #3: [28, 77] from Operation: 94-17=77
Current State: 49:[28, 77], Operations: ['49-21=28', '94-17=77']
Exploring Operation: 77-28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
29,
8,
62,
56
] | 58 | [
"62-8=54",
"56-54=2",
"29*2=58"
] | Current State: 58:[29, 8, 62, 56], Operations: []
Exploring Operation: 62-8=54, Resulting Numbers: [29, 56, 54]
Generated Node #2: [29, 56, 54] from Operation: 62-8=54
Current State: 58:[29, 56, 54], Operations: ['62-8=54']
Exploring Operation: 56-54=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 56-54=2
Current State: 58:[29, 2], Operations: ['62-8=54', '56-54=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
76,
47,
23,
66
] | 92 | [
"76*23=1748",
"66-47=19",
"1748/19=92"
] | Current State: 92:[76, 47, 23, 66], Operations: []
Exploring Operation: 76*23=1748, Resulting Numbers: [47, 66, 1748]
Generated Node #2: [47, 66, 1748] from Operation: 76*23=1748
Current State: 92:[47, 66, 1748], Operations: ['76*23=1748']
Exploring Operation: 66-47=19, Resulting Numbers: [1748, 19]
Generated Node #3: [1748, 19] from Operation: 66-47=19
Current State: 92:[1748, 19], Operations: ['76*23=1748', '66-47=19']
Exploring Operation: 1748/19=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
94,
22,
89,
84
] | 26 | [
"94-89=5",
"22*5=110",
"110-84=26"
] | Current State: 26:[94, 22, 89, 84], Operations: []
Exploring Operation: 94-89=5, Resulting Numbers: [22, 84, 5]
Generated Node #2: [22, 84, 5] from Operation: 94-89=5
Current State: 26:[22, 84, 5], Operations: ['94-89=5']
Exploring Operation: 22*5=110, Resulting Numbers: [84, 110]
Generated Node #3: [84, 110] from Operation: 22*5=110
Current State: 26:[84, 110], Operations: ['94-89=5', '22*5=110']
Exploring Operation: 110-84=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
88,
22,
55,
13
] | 24 | [
"88-22=66",
"55-13=42",
"66-42=24"
] | Current State: 24:[88, 22, 55, 13], Operations: []
Exploring Operation: 88-22=66, Resulting Numbers: [55, 13, 66]
Generated Node #2: [55, 13, 66] from Operation: 88-22=66
Current State: 24:[55, 13, 66], Operations: ['88-22=66']
Exploring Operation: 55-13=42, Resulting Numbers: [66, 42]
Generated Node #3: [66, 42] from Operation: 55-13=42
Current State: 24:[66, 42], Operations: ['88-22=66', '55-13=42']
Exploring Operation: 66-42=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
28,
70,
5,
8
] | 78 | [
"28*5=140",
"70-8=62",
"140-62=78"
] | Current State: 78:[28, 70, 5, 8], Operations: []
Exploring Operation: 28*5=140, Resulting Numbers: [70, 8, 140]
Generated Node #2: [70, 8, 140] from Operation: 28*5=140
Current State: 78:[70, 8, 140], Operations: ['28*5=140']
Exploring Operation: 70-8=62, Resulting Numbers: [140, 62]
Generated Node #3: [140, 62] from Operation: 70-8=62
Current State: 78:[140, 62], Operations: ['28*5=140', '70-8=62']
Exploring Operation: 140-62=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
95,
28,
99,
91
] | 30 | [
"99+91=190",
"190/95=2",
"28+2=30"
] | Current State: 30:[95, 28, 99, 91], Operations: []
Exploring Operation: 99+91=190, Resulting Numbers: [95, 28, 190]
Generated Node #2: [95, 28, 190] from Operation: 99+91=190
Current State: 30:[95, 28, 190], Operations: ['99+91=190']
Exploring Operation: 190/95=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 190/95=2
Current State: 30:[28, 2], Operations: ['99+91=190', '190/95=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
55,
70,
30,
40
] | 38 | [
"70-55=15",
"30/15=2",
"40-2=38"
] | Current State: 38:[55, 70, 30, 40], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [30, 40, 15]
Generated Node #2: [30, 40, 15] from Operation: 70-55=15
Current State: 38:[30, 40, 15], Operations: ['70-55=15']
Exploring Operation: 30/15=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 30/15=2
Current State: 38:[40, 2], Operations: ['70-55=15', '30/15=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
36,
94,
49,
54
] | 27 | [
"36+94=130",
"49+54=103",
"130-103=27"
] | Current State: 27:[36, 94, 49, 54], Operations: []
Exploring Operation: 36+94=130, Resulting Numbers: [49, 54, 130]
Generated Node #2: [49, 54, 130] from Operation: 36+94=130
Current State: 27:[49, 54, 130], Operations: ['36+94=130']
Exploring Operation: 49+54=103, Resulting Numbers: [130, 103]
Generated Node #3: [130, 103] from Operation: 49+54=103
Current State: 27:[130, 103], Operations: ['36+94=130', '49+54=103']
Exploring Operation: 130-103=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
76,
60,
1,
47
] | 95 | [
"76*60=4560",
"1+47=48",
"4560/48=95"
] | Current State: 95:[76, 60, 1, 47], Operations: []
Exploring Operation: 76*60=4560, Resulting Numbers: [1, 47, 4560]
Generated Node #2: [1, 47, 4560] from Operation: 76*60=4560
Current State: 95:[1, 47, 4560], Operations: ['76*60=4560']
Exploring Operation: 1+47=48, Resulting Numbers: [4560, 48]
Generated Node #3: [4560, 48] from Operation: 1+47=48
Current State: 95:[4560, 48], Operations: ['76*60=4560', '1+47=48']
Exploring Operation: 4560/48=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
90,
95,
8,
14
] | 26 | [
"95-90=5",
"8*5=40",
"40-14=26"
] | Current State: 26:[90, 95, 8, 14], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [8, 14, 5]
Generated Node #2: [8, 14, 5] from Operation: 95-90=5
Current State: 26:[8, 14, 5], Operations: ['95-90=5']
Exploring Operation: 8*5=40, Resulting Numbers: [14, 40]
Generated Node #3: [14, 40] from Operation: 8*5=40
Current State: 26:[14, 40], Operations: ['95-90=5', '8*5=40']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
90,
53,
9,
2
] | 68 | [
"53-9=44",
"44/2=22",
"90-22=68"
] | Current State: 68:[90, 53, 9, 2], Operations: []
Exploring Operation: 53-9=44, Resulting Numbers: [90, 2, 44]
Generated Node #2: [90, 2, 44] from Operation: 53-9=44
Current State: 68:[90, 2, 44], Operations: ['53-9=44']
Exploring Operation: 44/2=22, Resulting Numbers: [90, 22]
Generated Node #3: [90, 22] from Operation: 44/2=22
Current State: 68:[90, 22], Operations: ['53-9=44', '44/2=22']
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
8,
6,
27,
32
] | 46 | [
"32-27=5",
"8*5=40",
"6+40=46"
] | Current State: 46:[8, 6, 27, 32], Operations: []
Exploring Operation: 32-27=5, Resulting Numbers: [8, 6, 5]
Generated Node #2: [8, 6, 5] from Operation: 32-27=5
Current State: 46:[8, 6, 5], Operations: ['32-27=5']
Exploring Operation: 8*5=40, Resulting Numbers: [6, 40]
Generated Node #3: [6, 40] from Operation: 8*5=40
Current State: 46:[6, 40], Operations: ['32-27=5', '8*5=40']
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
21,
5,
85,
89
] | 41 | [
"89-85=4",
"5*4=20",
"21+20=41"
] | Current State: 41:[21, 5, 85, 89], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [21, 5, 4]
Generated Node #2: [21, 5, 4] from Operation: 89-85=4
Current State: 41:[21, 5, 4], Operations: ['89-85=4']
Exploring Operation: 5*4=20, Resulting Numbers: [21, 20]
Generated Node #3: [21, 20] from Operation: 5*4=20
Current State: 41:[21, 20], Operations: ['89-85=4', '5*4=20']
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
76,
31,
18,
71
] | 65 | [
"76-71=5",
"31-18=13",
"5*13=65"
] | Current State: 65:[76, 31, 18, 71], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [31, 18, 5]
Generated Node #2: [31, 18, 5] from Operation: 76-71=5
Current State: 65:[31, 18, 5], Operations: ['76-71=5']
Exploring Operation: 31-18=13, Resulting Numbers: [5, 13]
Generated Node #3: [5, 13] from Operation: 31-18=13
Current State: 65:[5, 13], Operations: ['76-71=5', '31-18=13']
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
8,
65,
23,
59
] | 25 | [
"65-8=57",
"23+59=82",
"82-57=25"
] | Current State: 25:[8, 65, 23, 59], Operations: []
Exploring Operation: 65-8=57, Resulting Numbers: [23, 59, 57]
Generated Node #2: [23, 59, 57] from Operation: 65-8=57
Current State: 25:[23, 59, 57], Operations: ['65-8=57']
Exploring Operation: 23+59=82, Resulting Numbers: [57, 82]
Generated Node #3: [57, 82] from Operation: 23+59=82
Current State: 25:[57, 82], Operations: ['65-8=57', '23+59=82']
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
36,
98,
64,
52
] | 18 | [
"36+98=134",
"64+52=116",
"134-116=18"
] | Current State: 18:[36, 98, 64, 52], Operations: []
Exploring Operation: 36+98=134, Resulting Numbers: [64, 52, 134]
Generated Node #2: [64, 52, 134] from Operation: 36+98=134
Current State: 18:[64, 52, 134], Operations: ['36+98=134']
Exploring Operation: 64+52=116, Resulting Numbers: [134, 116]
Generated Node #3: [134, 116] from Operation: 64+52=116
Current State: 18:[134, 116], Operations: ['36+98=134', '64+52=116']
Exploring Operation: 134-116=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
99,
4,
94,
62
] | 61 | [
"99-4=95",
"94+62=156",
"156-95=61"
] | Current State: 61:[99, 4, 94, 62], Operations: []
Exploring Operation: 99-4=95, Resulting Numbers: [94, 62, 95]
Generated Node #2: [94, 62, 95] from Operation: 99-4=95
Current State: 61:[94, 62, 95], Operations: ['99-4=95']
Exploring Operation: 94+62=156, Resulting Numbers: [95, 156]
Generated Node #3: [95, 156] from Operation: 94+62=156
Current State: 61:[95, 156], Operations: ['99-4=95', '94+62=156']
Exploring Operation: 156-95=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
7,
22,
46,
79
] | 89 | [
"46-22=24",
"7*24=168",
"168-79=89"
] | Current State: 89:[7, 22, 46, 79], Operations: []
Exploring Operation: 46-22=24, Resulting Numbers: [7, 79, 24]
Generated Node #2: [7, 79, 24] from Operation: 46-22=24
Current State: 89:[7, 79, 24], Operations: ['46-22=24']
Exploring Operation: 7*24=168, Resulting Numbers: [79, 168]
Generated Node #3: [79, 168] from Operation: 7*24=168
Current State: 89:[79, 168], Operations: ['46-22=24', '7*24=168']
Exploring Operation: 168-79=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
50,
6,
11,
61
] | 16 | [
"50+6=56",
"11+61=72",
"72-56=16"
] | Current State: 16:[50, 6, 11, 61], Operations: []
Exploring Operation: 50+6=56, Resulting Numbers: [11, 61, 56]
Generated Node #2: [11, 61, 56] from Operation: 50+6=56
Current State: 16:[11, 61, 56], Operations: ['50+6=56']
Exploring Operation: 11+61=72, Resulting Numbers: [56, 72]
Generated Node #3: [56, 72] from Operation: 11+61=72
Current State: 16:[56, 72], Operations: ['50+6=56', '11+61=72']
Exploring Operation: 72-56=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
6,
8,
54,
47
] | 62 | [
"54-47=7",
"8*7=56",
"6+56=62"
] | Current State: 62:[6, 8, 54, 47], Operations: []
Exploring Operation: 54-47=7, Resulting Numbers: [6, 8, 7]
Generated Node #2: [6, 8, 7] from Operation: 54-47=7
Current State: 62:[6, 8, 7], Operations: ['54-47=7']
Exploring Operation: 8*7=56, Resulting Numbers: [6, 56]
Generated Node #3: [6, 56] from Operation: 8*7=56
Current State: 62:[6, 56], Operations: ['54-47=7', '8*7=56']
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
95,
87,
25,
44
] | 92 | [
"44-25=19",
"95/19=5",
"87+5=92"
] | Current State: 92:[95, 87, 25, 44], Operations: []
Exploring Operation: 44-25=19, Resulting Numbers: [95, 87, 19]
Generated Node #2: [95, 87, 19] from Operation: 44-25=19
Current State: 92:[95, 87, 19], Operations: ['44-25=19']
Exploring Operation: 95/19=5, Resulting Numbers: [87, 5]
Generated Node #3: [87, 5] from Operation: 95/19=5
Current State: 92:[87, 5], Operations: ['44-25=19', '95/19=5']
Exploring Operation: 87+5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
60,
63,
3,
33
] | 93 | [
"60+63=123",
"33-3=30",
"123-30=93"
] | Current State: 93:[60, 63, 3, 33], Operations: []
Exploring Operation: 60+63=123, Resulting Numbers: [3, 33, 123]
Generated Node #2: [3, 33, 123] from Operation: 60+63=123
Current State: 93:[3, 33, 123], Operations: ['60+63=123']
Exploring Operation: 33-3=30, Resulting Numbers: [123, 30]
Generated Node #3: [123, 30] from Operation: 33-3=30
Current State: 93:[123, 30], Operations: ['60+63=123', '33-3=30']
Exploring Operation: 123-30=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
86,
68,
67,
69
] | 77 | [
"86+68=154",
"69-67=2",
"154/2=77"
] | Current State: 77:[86, 68, 67, 69], Operations: []
Exploring Operation: 86+68=154, Resulting Numbers: [67, 69, 154]
Generated Node #2: [67, 69, 154] from Operation: 86+68=154
Current State: 77:[67, 69, 154], Operations: ['86+68=154']
Exploring Operation: 69-67=2, Resulting Numbers: [154, 2]
Generated Node #3: [154, 2] from Operation: 69-67=2
Current State: 77:[154, 2], Operations: ['86+68=154', '69-67=2']
Exploring Operation: 154/2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
58,
98,
39,
11
] | 26 | [
"58*39=2262",
"98-11=87",
"2262/87=26"
] | Current State: 26:[58, 98, 39, 11], Operations: []
Exploring Operation: 58*39=2262, Resulting Numbers: [98, 11, 2262]
Generated Node #2: [98, 11, 2262] from Operation: 58*39=2262
Current State: 26:[98, 11, 2262], Operations: ['58*39=2262']
Exploring Operation: 98-11=87, Resulting Numbers: [2262, 87]
Generated Node #3: [2262, 87] from Operation: 98-11=87
Current State: 26:[2262, 87], Operations: ['58*39=2262', '98-11=87']
Exploring Operation: 2262/87=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
13,
37,
30,
85
] | 68 | [
"37-13=24",
"85*24=2040",
"2040/30=68"
] | Current State: 68:[13, 37, 30, 85], Operations: []
Exploring Operation: 37-13=24, Resulting Numbers: [30, 85, 24]
Generated Node #2: [30, 85, 24] from Operation: 37-13=24
Current State: 68:[30, 85, 24], Operations: ['37-13=24']
Exploring Operation: 85*24=2040, Resulting Numbers: [30, 2040]
Generated Node #3: [30, 2040] from Operation: 85*24=2040
Current State: 68:[30, 2040], Operations: ['37-13=24', '85*24=2040']
Exploring Operation: 2040/30=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
9,
51,
36,
20
] | 67 | [
"36/9=4",
"51+20=71",
"71-4=67"
] | Current State: 67:[9, 51, 36, 20], Operations: []
Exploring Operation: 36/9=4, Resulting Numbers: [51, 20, 4]
Generated Node #2: [51, 20, 4] from Operation: 36/9=4
Current State: 67:[51, 20, 4], Operations: ['36/9=4']
Exploring Operation: 51+20=71, Resulting Numbers: [4, 71]
Generated Node #3: [4, 71] from Operation: 51+20=71
Current State: 67:[4, 71], Operations: ['36/9=4', '51+20=71']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
50,
91,
34,
41
] | 66 | [
"50+91=141",
"34+41=75",
"141-75=66"
] | Current State: 66:[50, 91, 34, 41], Operations: []
Exploring Operation: 50+91=141, Resulting Numbers: [34, 41, 141]
Generated Node #2: [34, 41, 141] from Operation: 50+91=141
Current State: 66:[34, 41, 141], Operations: ['50+91=141']
Exploring Operation: 34+41=75, Resulting Numbers: [141, 75]
Generated Node #3: [141, 75] from Operation: 34+41=75
Current State: 66:[141, 75], Operations: ['50+91=141', '34+41=75']
Exploring Operation: 141-75=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
70,
7,
2,
35
] | 98 | [
"70*2=140",
"7+35=42",
"140-42=98"
] | Current State: 98:[70, 7, 2, 35], Operations: []
Exploring Operation: 70*2=140, Resulting Numbers: [7, 35, 140]
Generated Node #2: [7, 35, 140] from Operation: 70*2=140
Current State: 98:[7, 35, 140], Operations: ['70*2=140']
Exploring Operation: 7+35=42, Resulting Numbers: [140, 42]
Generated Node #3: [140, 42] from Operation: 7+35=42
Current State: 98:[140, 42], Operations: ['70*2=140', '7+35=42']
Exploring Operation: 140-42=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
8,
47,
48,
24
] | 78 | [
"47-8=39",
"48/24=2",
"39*2=78"
] | Current State: 78:[8, 47, 48, 24], Operations: []
Exploring Operation: 47-8=39, Resulting Numbers: [48, 24, 39]
Generated Node #2: [48, 24, 39] from Operation: 47-8=39
Current State: 78:[48, 24, 39], Operations: ['47-8=39']
Exploring Operation: 48/24=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 48/24=2
Current State: 78:[39, 2], Operations: ['47-8=39', '48/24=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
71,
76,
24,
92
] | 31 | [
"71+76=147",
"24+92=116",
"147-116=31"
] | Current State: 31:[71, 76, 24, 92], Operations: []
Exploring Operation: 71+76=147, Resulting Numbers: [24, 92, 147]
Generated Node #2: [24, 92, 147] from Operation: 71+76=147
Current State: 31:[24, 92, 147], Operations: ['71+76=147']
Exploring Operation: 24+92=116, Resulting Numbers: [147, 116]
Generated Node #3: [147, 116] from Operation: 24+92=116
Current State: 31:[147, 116], Operations: ['71+76=147', '24+92=116']
Exploring Operation: 147-116=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
27,
27,
71,
35
] | 35 | [
"27-27=0",
"71*0=0",
"35+0=35"
] | Current State: 35:[27, 27, 71, 35], Operations: []
Exploring Operation: 27-27=0, Resulting Numbers: [71, 35, 0]
Generated Node #2: [71, 35, 0] from Operation: 27-27=0
Current State: 35:[71, 35, 0], Operations: ['27-27=0']
Exploring Operation: 71*0=0, Resulting Numbers: [35, 0]
Generated Node #3: [35, 0] from Operation: 71*0=0
Current State: 35:[35, 0], Operations: ['27-27=0', '71*0=0']
Exploring Operation: 35+0=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
6,
76,
95,
94
] | 83 | [
"6+76=82",
"95-94=1",
"82+1=83"
] | Current State: 83:[6, 76, 95, 94], Operations: []
Exploring Operation: 6+76=82, Resulting Numbers: [95, 94, 82]
Generated Node #2: [95, 94, 82] from Operation: 6+76=82
Current State: 83:[95, 94, 82], Operations: ['6+76=82']
Exploring Operation: 95-94=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 95-94=1
Current State: 83:[82, 1], Operations: ['6+76=82', '95-94=1']
Exploring Operation: 82+1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
11,
18,
52,
39
] | 84 | [
"18-11=7",
"52+39=91",
"91-7=84"
] | Current State: 84:[11, 18, 52, 39], Operations: []
Exploring Operation: 18-11=7, Resulting Numbers: [52, 39, 7]
Generated Node #2: [52, 39, 7] from Operation: 18-11=7
Current State: 84:[52, 39, 7], Operations: ['18-11=7']
Exploring Operation: 52+39=91, Resulting Numbers: [7, 91]
Generated Node #3: [7, 91] from Operation: 52+39=91
Current State: 84:[7, 91], Operations: ['18-11=7', '52+39=91']
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
35,
9,
18,
1
] | 62 | [
"35+9=44",
"18*1=18",
"44+18=62"
] | Current State: 62:[35, 9, 18, 1], Operations: []
Exploring Operation: 35+9=44, Resulting Numbers: [18, 1, 44]
Generated Node #2: [18, 1, 44] from Operation: 35+9=44
Current State: 62:[18, 1, 44], Operations: ['35+9=44']
Exploring Operation: 18*1=18, Resulting Numbers: [44, 18]
Generated Node #3: [44, 18] from Operation: 18*1=18
Current State: 62:[44, 18], Operations: ['35+9=44', '18*1=18']
Exploring Operation: 44+18=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
75,
73,
2,
92
] | 21 | [
"75+92=167",
"73*2=146",
"167-146=21"
] | Current State: 21:[75, 73, 2, 92], Operations: []
Exploring Operation: 75+92=167, Resulting Numbers: [73, 2, 167]
Generated Node #2: [73, 2, 167] from Operation: 75+92=167
Current State: 21:[73, 2, 167], Operations: ['75+92=167']
Exploring Operation: 73*2=146, Resulting Numbers: [167, 146]
Generated Node #3: [167, 146] from Operation: 73*2=146
Current State: 21:[167, 146], Operations: ['75+92=167', '73*2=146']
Exploring Operation: 167-146=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
22,
64,
26,
1
] | 61 | [
"22+64=86",
"26-1=25",
"86-25=61"
] | Current State: 61:[22, 64, 26, 1], Operations: []
Exploring Operation: 22+64=86, Resulting Numbers: [26, 1, 86]
Generated Node #2: [26, 1, 86] from Operation: 22+64=86
Current State: 61:[26, 1, 86], Operations: ['22+64=86']
Exploring Operation: 26-1=25, Resulting Numbers: [86, 25]
Generated Node #3: [86, 25] from Operation: 26-1=25
Current State: 61:[86, 25], Operations: ['22+64=86', '26-1=25']
Exploring Operation: 86-25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
7,
96,
91,
53
] | 55 | [
"96-7=89",
"91+53=144",
"144-89=55"
] | Current State: 55:[7, 96, 91, 53], Operations: []
Exploring Operation: 96-7=89, Resulting Numbers: [91, 53, 89]
Generated Node #2: [91, 53, 89] from Operation: 96-7=89
Current State: 55:[91, 53, 89], Operations: ['96-7=89']
Exploring Operation: 91+53=144, Resulting Numbers: [89, 144]
Generated Node #3: [89, 144] from Operation: 91+53=144
Current State: 55:[89, 144], Operations: ['96-7=89', '91+53=144']
Exploring Operation: 144-89=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
40,
92,
79,
85
] | 32 | [
"40+92=132",
"79+85=164",
"164-132=32"
] | Current State: 32:[40, 92, 79, 85], Operations: []
Exploring Operation: 40+92=132, Resulting Numbers: [79, 85, 132]
Generated Node #2: [79, 85, 132] from Operation: 40+92=132
Current State: 32:[79, 85, 132], Operations: ['40+92=132']
Exploring Operation: 79+85=164, Resulting Numbers: [132, 164]
Generated Node #3: [132, 164] from Operation: 79+85=164
Current State: 32:[132, 164], Operations: ['40+92=132', '79+85=164']
Exploring Operation: 164-132=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
76,
90,
69,
35
] | 85 | [
"76-69=7",
"35/7=5",
"90-5=85"
] | Current State: 85:[76, 90, 69, 35], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [90, 35, 7]
Generated Node #2: [90, 35, 7] from Operation: 76-69=7
Current State: 85:[90, 35, 7], Operations: ['76-69=7']
Exploring Operation: 35/7=5, Resulting Numbers: [90, 5]
Generated Node #3: [90, 5] from Operation: 35/7=5
Current State: 85:[90, 5], Operations: ['76-69=7', '35/7=5']
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
3,
56,
64,
41
] | 82 | [
"3+56=59",
"64-41=23",
"59+23=82"
] | Current State: 82:[3, 56, 64, 41], Operations: []
Exploring Operation: 3+56=59, Resulting Numbers: [64, 41, 59]
Generated Node #2: [64, 41, 59] from Operation: 3+56=59
Current State: 82:[64, 41, 59], Operations: ['3+56=59']
Exploring Operation: 64-41=23, Resulting Numbers: [59, 23]
Generated Node #3: [59, 23] from Operation: 64-41=23
Current State: 82:[59, 23], Operations: ['3+56=59', '64-41=23']
Exploring Operation: 59+23=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
6,
98,
15,
2
] | 82 | [
"6*15=90",
"2*90=180",
"180-98=82"
] | Current State: 82:[6, 98, 15, 2], Operations: []
Exploring Operation: 6*15=90, Resulting Numbers: [98, 2, 90]
Generated Node #2: [98, 2, 90] from Operation: 6*15=90
Current State: 82:[98, 2, 90], Operations: ['6*15=90']
Exploring Operation: 2*90=180, Resulting Numbers: [98, 180]
Generated Node #3: [98, 180] from Operation: 2*90=180
Current State: 82:[98, 180], Operations: ['6*15=90', '2*90=180']
Exploring Operation: 180-98=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
57,
39,
18,
16
] | 48 | [
"57+39=96",
"18-16=2",
"96/2=48"
] | Current State: 48:[57, 39, 18, 16], Operations: []
Exploring Operation: 57+39=96, Resulting Numbers: [18, 16, 96]
Generated Node #2: [18, 16, 96] from Operation: 57+39=96
Current State: 48:[18, 16, 96], Operations: ['57+39=96']
Exploring Operation: 18-16=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 18-16=2
Current State: 48:[96, 2], Operations: ['57+39=96', '18-16=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
43,
20,
73,
49
] | 47 | [
"43-20=23",
"73-49=24",
"23+24=47"
] | Current State: 47:[43, 20, 73, 49], Operations: []
Exploring Operation: 43-20=23, Resulting Numbers: [73, 49, 23]
Generated Node #2: [73, 49, 23] from Operation: 43-20=23
Current State: 47:[73, 49, 23], Operations: ['43-20=23']
Exploring Operation: 73-49=24, Resulting Numbers: [23, 24]
Generated Node #3: [23, 24] from Operation: 73-49=24
Current State: 47:[23, 24], Operations: ['43-20=23', '73-49=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
65,
54,
97,
51
] | 29 | [
"65+54=119",
"97+51=148",
"148-119=29"
] | Current State: 29:[65, 54, 97, 51], Operations: []
Exploring Operation: 65+54=119, Resulting Numbers: [97, 51, 119]
Generated Node #2: [97, 51, 119] from Operation: 65+54=119
Current State: 29:[97, 51, 119], Operations: ['65+54=119']
Exploring Operation: 97+51=148, Resulting Numbers: [119, 148]
Generated Node #3: [119, 148] from Operation: 97+51=148
Current State: 29:[119, 148], Operations: ['65+54=119', '97+51=148']
Exploring Operation: 148-119=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
82,
3,
52,
48
] | 10 | [
"82+52=134",
"3*48=144",
"144-134=10"
] | Current State: 10:[82, 3, 52, 48], Operations: []
Exploring Operation: 82+52=134, Resulting Numbers: [3, 48, 134]
Generated Node #2: [3, 48, 134] from Operation: 82+52=134
Current State: 10:[3, 48, 134], Operations: ['82+52=134']
Exploring Operation: 3*48=144, Resulting Numbers: [134, 144]
Generated Node #3: [134, 144] from Operation: 3*48=144
Current State: 10:[134, 144], Operations: ['82+52=134', '3*48=144']
Exploring Operation: 144-134=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
54,
25,
2,
67
] | 24 | [
"54+25=79",
"79-67=12",
"2*12=24"
] | Current State: 24:[54, 25, 2, 67], Operations: []
Exploring Operation: 54+25=79, Resulting Numbers: [2, 67, 79]
Generated Node #2: [2, 67, 79] from Operation: 54+25=79
Current State: 24:[2, 67, 79], Operations: ['54+25=79']
Exploring Operation: 79-67=12, Resulting Numbers: [2, 12]
Generated Node #3: [2, 12] from Operation: 79-67=12
Current State: 24:[2, 12], Operations: ['54+25=79', '79-67=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
77,
90,
5,
25
] | 59 | [
"90*5=450",
"450/25=18",
"77-18=59"
] | Current State: 59:[77, 90, 5, 25], Operations: []
Exploring Operation: 90*5=450, Resulting Numbers: [77, 25, 450]
Generated Node #2: [77, 25, 450] from Operation: 90*5=450
Current State: 59:[77, 25, 450], Operations: ['90*5=450']
Exploring Operation: 450/25=18, Resulting Numbers: [77, 18]
Generated Node #3: [77, 18] from Operation: 450/25=18
Current State: 59:[77, 18], Operations: ['90*5=450', '450/25=18']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
83,
50,
50,
58
] | 41 | [
"83-50=33",
"58-50=8",
"33+8=41"
] | Current State: 41:[83, 50, 50, 58], Operations: []
Exploring Operation: 83-50=33, Resulting Numbers: [58, 33]
Generated Node #2: [58, 33] from Operation: 83-50=33
Current State: 41:[58, 33], Operations: ['83-50=33']
Exploring Operation: 58-50=8, Resulting Numbers: [33, 8]
Generated Node #3: [33, 8] from Operation: 58-50=8
Current State: 41:[33, 8], Operations: ['83-50=33', '58-50=8']
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
81,
81,
72,
90
] | 63 | [
"90-81=9",
"81/9=9",
"72-9=63"
] | Current State: 63:[81, 81, 72, 90], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [72, 9]
Generated Node #2: [72, 9] from Operation: 90-81=9
Current State: 63:[72, 9], Operations: ['90-81=9']
Exploring Operation: 81/9=9, Resulting Numbers: [72, 9]
Generated Node #3: [72, 9] from Operation: 81/9=9
Current State: 63:[72, 9], Operations: ['90-81=9', '81/9=9']
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
28,
88,
57,
61
] | 58 | [
"88-28=60",
"57+61=118",
"118-60=58"
] | Current State: 58:[28, 88, 57, 61], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [57, 61, 60]
Generated Node #2: [57, 61, 60] from Operation: 88-28=60
Current State: 58:[57, 61, 60], Operations: ['88-28=60']
Exploring Operation: 57+61=118, Resulting Numbers: [60, 118]
Generated Node #3: [60, 118] from Operation: 57+61=118
Current State: 58:[60, 118], Operations: ['88-28=60', '57+61=118']
Exploring Operation: 118-60=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
19,
56,
54,
95
] | 78 | [
"56-19=37",
"95-54=41",
"37+41=78"
] | Current State: 78:[19, 56, 54, 95], Operations: []
Exploring Operation: 56-19=37, Resulting Numbers: [54, 95, 37]
Generated Node #2: [54, 95, 37] from Operation: 56-19=37
Current State: 78:[54, 95, 37], Operations: ['56-19=37']
Exploring Operation: 95-54=41, Resulting Numbers: [37, 41]
Generated Node #3: [37, 41] from Operation: 95-54=41
Current State: 78:[37, 41], Operations: ['56-19=37', '95-54=41']
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
7,
79,
15,
49
] | 57 | [
"49/7=7",
"79-15=64",
"64-7=57"
] | Current State: 57:[7, 79, 15, 49], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [79, 15, 7]
Generated Node #2: [79, 15, 7] from Operation: 49/7=7
Current State: 57:[79, 15, 7], Operations: ['49/7=7']
Exploring Operation: 79-15=64, Resulting Numbers: [7, 64]
Generated Node #3: [7, 64] from Operation: 79-15=64
Current State: 57:[7, 64], Operations: ['49/7=7', '79-15=64']
Exploring Operation: 64-7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
52,
66,
4,
46
] | 44 | [
"52-46=6",
"66*4=264",
"264/6=44"
] | Current State: 44:[52, 66, 4, 46], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [66, 4, 6]
Generated Node #2: [66, 4, 6] from Operation: 52-46=6
Current State: 44:[66, 4, 6], Operations: ['52-46=6']
Exploring Operation: 66*4=264, Resulting Numbers: [6, 264]
Generated Node #3: [6, 264] from Operation: 66*4=264
Current State: 44:[6, 264], Operations: ['52-46=6', '66*4=264']
Exploring Operation: 264/6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
29,
1,
83,
74
] | 38 | [
"29*1=29",
"83-74=9",
"29+9=38"
] | Current State: 38:[29, 1, 83, 74], Operations: []
Exploring Operation: 29*1=29, Resulting Numbers: [83, 74, 29]
Generated Node #2: [83, 74, 29] from Operation: 29*1=29
Current State: 38:[83, 74, 29], Operations: ['29*1=29']
Exploring Operation: 83-74=9, Resulting Numbers: [29, 9]
Generated Node #3: [29, 9] from Operation: 83-74=9
Current State: 38:[29, 9], Operations: ['29*1=29', '83-74=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
89,
13,
93,
99
] | 11 | [
"89+13=102",
"102-93=9",
"99/9=11"
] | Current State: 11:[89, 13, 93, 99], Operations: []
Exploring Operation: 89+13=102, Resulting Numbers: [93, 99, 102]
Generated Node #2: [93, 99, 102] from Operation: 89+13=102
Current State: 11:[93, 99, 102], Operations: ['89+13=102']
Exploring Operation: 102-93=9, Resulting Numbers: [99, 9]
Generated Node #3: [99, 9] from Operation: 102-93=9
Current State: 11:[99, 9], Operations: ['89+13=102', '102-93=9']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
64,
31,
1,
62
] | 15 | [
"64-62=2",
"31-1=30",
"30/2=15"
] | Current State: 15:[64, 31, 1, 62], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [31, 1, 2]
Generated Node #2: [31, 1, 2] from Operation: 64-62=2
Current State: 15:[31, 1, 2], Operations: ['64-62=2']
Exploring Operation: 31-1=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 31-1=30
Current State: 15:[2, 30], Operations: ['64-62=2', '31-1=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
82,
35,
76,
64
] | 35 | [
"82-35=47",
"76-64=12",
"47-12=35"
] | Current State: 35:[82, 35, 76, 64], Operations: []
Exploring Operation: 82-35=47, Resulting Numbers: [76, 64, 47]
Generated Node #2: [76, 64, 47] from Operation: 82-35=47
Current State: 35:[76, 64, 47], Operations: ['82-35=47']
Exploring Operation: 76-64=12, Resulting Numbers: [47, 12]
Generated Node #3: [47, 12] from Operation: 76-64=12
Current State: 35:[47, 12], Operations: ['82-35=47', '76-64=12']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
69,
8,
53,
44
] | 86 | [
"69+8=77",
"53-44=9",
"77+9=86"
] | Current State: 86:[69, 8, 53, 44], Operations: []
Exploring Operation: 69+8=77, Resulting Numbers: [53, 44, 77]
Generated Node #2: [53, 44, 77] from Operation: 69+8=77
Current State: 86:[53, 44, 77], Operations: ['69+8=77']
Exploring Operation: 53-44=9, Resulting Numbers: [77, 9]
Generated Node #3: [77, 9] from Operation: 53-44=9
Current State: 86:[77, 9], Operations: ['69+8=77', '53-44=9']
Exploring Operation: 77+9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
22,
69,
75,
94
] | 23 | [
"22+75=97",
"97-94=3",
"69/3=23"
] | Current State: 23:[22, 69, 75, 94], Operations: []
Exploring Operation: 22+75=97, Resulting Numbers: [69, 94, 97]
Generated Node #2: [69, 94, 97] from Operation: 22+75=97
Current State: 23:[69, 94, 97], Operations: ['22+75=97']
Exploring Operation: 97-94=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 97-94=3
Current State: 23:[69, 3], Operations: ['22+75=97', '97-94=3']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
45,
64,
17,
94
] | 43 | [
"64-17=47",
"94/47=2",
"45-2=43"
] | Current State: 43:[45, 64, 17, 94], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [45, 94, 47]
Generated Node #2: [45, 94, 47] from Operation: 64-17=47
Current State: 43:[45, 94, 47], Operations: ['64-17=47']
Exploring Operation: 94/47=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 94/47=2
Current State: 43:[45, 2], Operations: ['64-17=47', '94/47=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
96,
87,
60,
99
] | 93 | [
"99-96=3",
"60*3=180",
"180-87=93"
] | Current State: 93:[96, 87, 60, 99], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [87, 60, 3]
Generated Node #2: [87, 60, 3] from Operation: 99-96=3
Current State: 93:[87, 60, 3], Operations: ['99-96=3']
Exploring Operation: 60*3=180, Resulting Numbers: [87, 180]
Generated Node #3: [87, 180] from Operation: 60*3=180
Current State: 93:[87, 180], Operations: ['99-96=3', '60*3=180']
Exploring Operation: 180-87=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
44,
56,
98,
49
] | 78 | [
"44*49=2156",
"2156/98=22",
"56+22=78"
] | Current State: 78:[44, 56, 98, 49], Operations: []
Exploring Operation: 44*49=2156, Resulting Numbers: [56, 98, 2156]
Generated Node #2: [56, 98, 2156] from Operation: 44*49=2156
Current State: 78:[56, 98, 2156], Operations: ['44*49=2156']
Exploring Operation: 2156/98=22, Resulting Numbers: [56, 22]
Generated Node #3: [56, 22] from Operation: 2156/98=22
Current State: 78:[56, 22], Operations: ['44*49=2156', '2156/98=22']
Exploring Operation: 56+22=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
52,
12,
10,
16
] | 84 | [
"52-16=36",
"12*10=120",
"120-36=84"
] | Current State: 84:[52, 12, 10, 16], Operations: []
Exploring Operation: 52-16=36, Resulting Numbers: [12, 10, 36]
Generated Node #2: [12, 10, 36] from Operation: 52-16=36
Current State: 84:[12, 10, 36], Operations: ['52-16=36']
Exploring Operation: 12*10=120, Resulting Numbers: [36, 120]
Generated Node #3: [36, 120] from Operation: 12*10=120
Current State: 84:[36, 120], Operations: ['52-16=36', '12*10=120']
Exploring Operation: 120-36=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
44,
47,
53,
4
] | 91 | [
"44+53=97",
"47*4=188",
"188-97=91"
] | Current State: 91:[44, 47, 53, 4], Operations: []
Exploring Operation: 44+53=97, Resulting Numbers: [47, 4, 97]
Generated Node #2: [47, 4, 97] from Operation: 44+53=97
Current State: 91:[47, 4, 97], Operations: ['44+53=97']
Exploring Operation: 47*4=188, Resulting Numbers: [97, 188]
Generated Node #3: [97, 188] from Operation: 47*4=188
Current State: 91:[97, 188], Operations: ['44+53=97', '47*4=188']
Exploring Operation: 188-97=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
41,
4,
24,
29
] | 24 | [
"41-29=12",
"4*12=48",
"48-24=24"
] | Current State: 24:[41, 4, 24, 29], Operations: []
Exploring Operation: 41-29=12, Resulting Numbers: [4, 24, 12]
Generated Node #2: [4, 24, 12] from Operation: 41-29=12
Current State: 24:[4, 24, 12], Operations: ['41-29=12']
Exploring Operation: 4*12=48, Resulting Numbers: [24, 48]
Generated Node #3: [24, 48] from Operation: 4*12=48
Current State: 24:[24, 48], Operations: ['41-29=12', '4*12=48']
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
69,
26,
13,
79
] | 12 | [
"79-69=10",
"26/13=2",
"10+2=12"
] | Current State: 12:[69, 26, 13, 79], Operations: []
Exploring Operation: 79-69=10, Resulting Numbers: [26, 13, 10]
Generated Node #2: [26, 13, 10] from Operation: 79-69=10
Current State: 12:[26, 13, 10], Operations: ['79-69=10']
Exploring Operation: 26/13=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 26/13=2
Current State: 12:[10, 2], Operations: ['79-69=10', '26/13=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
99,
10,
20,
32
] | 77 | [
"99-10=89",
"32-20=12",
"89-12=77"
] | Current State: 77:[99, 10, 20, 32], Operations: []
Exploring Operation: 99-10=89, Resulting Numbers: [20, 32, 89]
Generated Node #2: [20, 32, 89] from Operation: 99-10=89
Current State: 77:[20, 32, 89], Operations: ['99-10=89']
Exploring Operation: 32-20=12, Resulting Numbers: [89, 12]
Generated Node #3: [89, 12] from Operation: 32-20=12
Current State: 77:[89, 12], Operations: ['99-10=89', '32-20=12']
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
47,
53,
62,
3
] | 80 | [
"53-47=6",
"3*6=18",
"62+18=80"
] | Current State: 80:[47, 53, 62, 3], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [62, 3, 6]
Generated Node #2: [62, 3, 6] from Operation: 53-47=6
Current State: 80:[62, 3, 6], Operations: ['53-47=6']
Exploring Operation: 3*6=18, Resulting Numbers: [62, 18]
Generated Node #3: [62, 18] from Operation: 3*6=18
Current State: 80:[62, 18], Operations: ['53-47=6', '3*6=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
89,
18,
97,
71
] | 98 | [
"89-18=71",
"71/71=1",
"97+1=98"
] | Current State: 98:[89, 18, 97, 71], Operations: []
Exploring Operation: 89-18=71, Resulting Numbers: [97, 71, 71]
Generated Node #2: [97, 71, 71] from Operation: 89-18=71
Current State: 98:[97, 71, 71], Operations: ['89-18=71']
Exploring Operation: 71/71=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 71/71=1
Current State: 98:[97, 1], Operations: ['89-18=71', '71/71=1']
Exploring Operation: 97+1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
15,
85,
35,
53
] | 45 | [
"85+35=120",
"120/15=8",
"53-8=45"
] | Current State: 45:[15, 85, 35, 53], Operations: []
Exploring Operation: 85+35=120, Resulting Numbers: [15, 53, 120]
Generated Node #2: [15, 53, 120] from Operation: 85+35=120
Current State: 45:[15, 53, 120], Operations: ['85+35=120']
Exploring Operation: 120/15=8, Resulting Numbers: [53, 8]
Generated Node #3: [53, 8] from Operation: 120/15=8
Current State: 45:[53, 8], Operations: ['85+35=120', '120/15=8']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
97,
31,
93,
87
] | 68 | [
"93/31=3",
"87/3=29",
"97-29=68"
] | Current State: 68:[97, 31, 93, 87], Operations: []
Exploring Operation: 93/31=3, Resulting Numbers: [97, 87, 3]
Generated Node #2: [97, 87, 3] from Operation: 93/31=3
Current State: 68:[97, 87, 3], Operations: ['93/31=3']
Exploring Operation: 87/3=29, Resulting Numbers: [97, 29]
Generated Node #3: [97, 29] from Operation: 87/3=29
Current State: 68:[97, 29], Operations: ['93/31=3', '87/3=29']
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
15,
5,
70,
96
] | 67 | [
"96-15=81",
"70/5=14",
"81-14=67"
] | Current State: 67:[15, 5, 70, 96], Operations: []
Exploring Operation: 96-15=81, Resulting Numbers: [5, 70, 81]
Generated Node #2: [5, 70, 81] from Operation: 96-15=81
Current State: 67:[5, 70, 81], Operations: ['96-15=81']
Exploring Operation: 70/5=14, Resulting Numbers: [81, 14]
Generated Node #3: [81, 14] from Operation: 70/5=14
Current State: 67:[81, 14], Operations: ['96-15=81', '70/5=14']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
83,
38,
29,
10
] | 81 | [
"29-10=19",
"38/19=2",
"83-2=81"
] | Current State: 81:[83, 38, 29, 10], Operations: []
Exploring Operation: 29-10=19, Resulting Numbers: [83, 38, 19]
Generated Node #2: [83, 38, 19] from Operation: 29-10=19
Current State: 81:[83, 38, 19], Operations: ['29-10=19']
Exploring Operation: 38/19=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 38/19=2
Current State: 81:[83, 2], Operations: ['29-10=19', '38/19=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
8,
9,
19,
4
] | 42 | [
"8*4=32",
"19-9=10",
"32+10=42"
] | Current State: 42:[8, 9, 19, 4], Operations: []
Exploring Operation: 8*4=32, Resulting Numbers: [9, 19, 32]
Generated Node #2: [9, 19, 32] from Operation: 8*4=32
Current State: 42:[9, 19, 32], Operations: ['8*4=32']
Exploring Operation: 19-9=10, Resulting Numbers: [32, 10]
Generated Node #3: [32, 10] from Operation: 19-9=10
Current State: 42:[32, 10], Operations: ['8*4=32', '19-9=10']
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
72,
59,
36,
46
] | 33 | [
"72/36=2",
"46*2=92",
"92-59=33"
] | Current State: 33:[72, 59, 36, 46], Operations: []
Exploring Operation: 72/36=2, Resulting Numbers: [59, 46, 2]
Generated Node #2: [59, 46, 2] from Operation: 72/36=2
Current State: 33:[59, 46, 2], Operations: ['72/36=2']
Exploring Operation: 46*2=92, Resulting Numbers: [59, 92]
Generated Node #3: [59, 92] from Operation: 46*2=92
Current State: 33:[59, 92], Operations: ['72/36=2', '46*2=92']
Exploring Operation: 92-59=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
32,
97,
96,
39
] | 84 | [
"96/32=3",
"39/3=13",
"97-13=84"
] | Current State: 84:[32, 97, 96, 39], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [97, 39, 3]
Generated Node #2: [97, 39, 3] from Operation: 96/32=3
Current State: 84:[97, 39, 3], Operations: ['96/32=3']
Exploring Operation: 39/3=13, Resulting Numbers: [97, 13]
Generated Node #3: [97, 13] from Operation: 39/3=13
Current State: 84:[97, 13], Operations: ['96/32=3', '39/3=13']
Exploring Operation: 97-13=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
36,
37,
58,
7
] | 74 | [
"36-7=29",
"37*58=2146",
"2146/29=74"
] | Current State: 74:[36, 37, 58, 7], Operations: []
Exploring Operation: 36-7=29, Resulting Numbers: [37, 58, 29]
Generated Node #2: [37, 58, 29] from Operation: 36-7=29
Current State: 74:[37, 58, 29], Operations: ['36-7=29']
Exploring Operation: 37*58=2146, Resulting Numbers: [29, 2146]
Generated Node #3: [29, 2146] from Operation: 37*58=2146
Current State: 74:[29, 2146], Operations: ['36-7=29', '37*58=2146']
Exploring Operation: 2146/29=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
25,
60,
19,
55
] | 14 | [
"60-55=5",
"25/5=5",
"19-5=14"
] | Current State: 14:[25, 60, 19, 55], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [25, 19, 5]
Generated Node #2: [25, 19, 5] from Operation: 60-55=5
Current State: 14:[25, 19, 5], Operations: ['60-55=5']
Exploring Operation: 25/5=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 25/5=5
Current State: 14:[19, 5], Operations: ['60-55=5', '25/5=5']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
24,
70,
88,
4
] | 68 | [
"70-24=46",
"88/4=22",
"46+22=68"
] | Current State: 68:[24, 70, 88, 4], Operations: []
Exploring Operation: 70-24=46, Resulting Numbers: [88, 4, 46]
Generated Node #2: [88, 4, 46] from Operation: 70-24=46
Current State: 68:[88, 4, 46], Operations: ['70-24=46']
Exploring Operation: 88/4=22, Resulting Numbers: [46, 22]
Generated Node #3: [46, 22] from Operation: 88/4=22
Current State: 68:[46, 22], Operations: ['70-24=46', '88/4=22']
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
54,
27,
90,
30
] | 58 | [
"54/27=2",
"90-30=60",
"60-2=58"
] | Current State: 58:[54, 27, 90, 30], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [90, 30, 2]
Generated Node #2: [90, 30, 2] from Operation: 54/27=2
Current State: 58:[90, 30, 2], Operations: ['54/27=2']
Exploring Operation: 90-30=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 90-30=60
Current State: 58:[2, 60], Operations: ['54/27=2', '90-30=60']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
67,
70,
84,
76
] | 11 | [
"70-67=3",
"84-76=8",
"3+8=11"
] | Current State: 11:[67, 70, 84, 76], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [84, 76, 3]
Generated Node #2: [84, 76, 3] from Operation: 70-67=3
Current State: 11:[84, 76, 3], Operations: ['70-67=3']
Exploring Operation: 84-76=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 84-76=8
Current State: 11:[3, 8], Operations: ['70-67=3', '84-76=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
99,
93,
42,
23
] | 25 | [
"99-93=6",
"42-23=19",
"6+19=25"
] | Current State: 25:[99, 93, 42, 23], Operations: []
Exploring Operation: 99-93=6, Resulting Numbers: [42, 23, 6]
Generated Node #2: [42, 23, 6] from Operation: 99-93=6
Current State: 25:[42, 23, 6], Operations: ['99-93=6']
Exploring Operation: 42-23=19, Resulting Numbers: [6, 19]
Generated Node #3: [6, 19] from Operation: 42-23=19
Current State: 25:[6, 19], Operations: ['99-93=6', '42-23=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
58,
5,
3,
4
] | 41 | [
"58-5=53",
"3*4=12",
"53-12=41"
] | Current State: 41:[58, 5, 3, 4], Operations: []
Exploring Operation: 58-5=53, Resulting Numbers: [3, 4, 53]
Generated Node #2: [3, 4, 53] from Operation: 58-5=53
Current State: 41:[3, 4, 53], Operations: ['58-5=53']
Exploring Operation: 3*4=12, Resulting Numbers: [53, 12]
Generated Node #3: [53, 12] from Operation: 3*4=12
Current State: 41:[53, 12], Operations: ['58-5=53', '3*4=12']
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
72,
94,
58,
9
] | 32 | [
"72-58=14",
"9*14=126",
"126-94=32"
] | Current State: 32:[72, 94, 58, 9], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [94, 9, 14]
Generated Node #2: [94, 9, 14] from Operation: 72-58=14
Current State: 32:[94, 9, 14], Operations: ['72-58=14']
Exploring Operation: 9*14=126, Resulting Numbers: [94, 126]
Generated Node #3: [94, 126] from Operation: 9*14=126
Current State: 32:[94, 126], Operations: ['72-58=14', '9*14=126']
Exploring Operation: 126-94=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
23,
30,
6,
47
] | 48 | [
"30-23=7",
"47-6=41",
"7+41=48"
] | Current State: 48:[23, 30, 6, 47], Operations: []
Exploring Operation: 30-23=7, Resulting Numbers: [6, 47, 7]
Generated Node #2: [6, 47, 7] from Operation: 30-23=7
Current State: 48:[6, 47, 7], Operations: ['30-23=7']
Exploring Operation: 47-6=41, Resulting Numbers: [7, 41]
Generated Node #3: [7, 41] from Operation: 47-6=41
Current State: 48:[7, 41], Operations: ['30-23=7', '47-6=41']
Exploring Operation: 7+41=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
5,
29,
54,
75
] | 20 | [
"54-29=25",
"75+25=100",
"100/5=20"
] | Current State: 20:[5, 29, 54, 75], Operations: []
Exploring Operation: 54-29=25, Resulting Numbers: [5, 75, 25]
Generated Node #2: [5, 75, 25] from Operation: 54-29=25
Current State: 20:[5, 75, 25], Operations: ['54-29=25']
Exploring Operation: 75+25=100, Resulting Numbers: [5, 100]
Generated Node #3: [5, 100] from Operation: 75+25=100
Current State: 20:[5, 100], Operations: ['54-29=25', '75+25=100']
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
67,
34,
81,
6
] | 54 | [
"67-34=33",
"81+6=87",
"87-33=54"
] | Current State: 54:[67, 34, 81, 6], Operations: []
Exploring Operation: 67-34=33, Resulting Numbers: [81, 6, 33]
Generated Node #2: [81, 6, 33] from Operation: 67-34=33
Current State: 54:[81, 6, 33], Operations: ['67-34=33']
Exploring Operation: 81+6=87, Resulting Numbers: [33, 87]
Generated Node #3: [33, 87] from Operation: 81+6=87
Current State: 54:[33, 87], Operations: ['67-34=33', '81+6=87']
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
22,
87,
11,
3
] | 93 | [
"22/11=2",
"3*2=6",
"87+6=93"
] | Current State: 93:[22, 87, 11, 3], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [87, 3, 2]
Generated Node #2: [87, 3, 2] from Operation: 22/11=2
Current State: 93:[87, 3, 2], Operations: ['22/11=2']
Exploring Operation: 3*2=6, Resulting Numbers: [87, 6]
Generated Node #3: [87, 6] from Operation: 3*2=6
Current State: 93:[87, 6], Operations: ['22/11=2', '3*2=6']
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
58,
29,
46,
16
] | 87 | [
"29*46=1334",
"58+1334=1392",
"1392/16=87"
] | Current State: 87:[58, 29, 46, 16], Operations: []
Exploring Operation: 29*46=1334, Resulting Numbers: [58, 16, 1334]
Generated Node #2: [58, 16, 1334] from Operation: 29*46=1334
Current State: 87:[58, 16, 1334], Operations: ['29*46=1334']
Exploring Operation: 58+1334=1392, Resulting Numbers: [16, 1392]
Generated Node #3: [16, 1392] from Operation: 58+1334=1392
Current State: 87:[16, 1392], Operations: ['29*46=1334', '58+1334=1392']
Exploring Operation: 1392/16=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
14,
21,
84,
49
] | 22 | [
"84/14=6",
"49-21=28",
"28-6=22"
] | Current State: 22:[14, 21, 84, 49], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [21, 49, 6]
Generated Node #2: [21, 49, 6] from Operation: 84/14=6
Current State: 22:[21, 49, 6], Operations: ['84/14=6']
Exploring Operation: 49-21=28, Resulting Numbers: [6, 28]
Generated Node #3: [6, 28] from Operation: 49-21=28
Current State: 22:[6, 28], Operations: ['84/14=6', '49-21=28']
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
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